What is the domain of f(x)=sqrt((x-2)/(x+3)) ?

The domain of f(x)=sqrt((x-2)/(x+3)) is x = 2

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domain of f(x)=sqrt((x-2)/(x+3))

domain

f (x) = \frac{x - 2}{x + 3}

x < - 3 or x \geq 2

Interval Notation

(- \infty, - 3) \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

x < - 3 or x \geq 2

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3 or x \geq 2

f (x) = 3 - 2 x^{2}

f (x) = \frac{( 2 x + 8 )}{x - 3}

3 + 4 + 9 x

f (x) = arccot (x)

- lo g_{4} (x - 2)

What is the domain of f(x)=sqrt((x-2)/(x+3)) ?
The domain of f(x)=sqrt((x-2)/(x+3)) is x<-3\lor x>= 2